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professor190 [17]
3 years ago
14

How to divide (x^2+5x-36)÷(x-4)

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

x + 9

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 5 -36

↓ 4 36

----------------

1 9 0 → x + 9

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em><em>,</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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Todd has 21 white tiles dnd some black tiles to make a mosaic. The mosaic has a total area of 144 Square centimeters. Each tile
tekilochka [14]

Answer:the number of black tiles that Todd used is 27

Step-by-step explanation:

Let x represent the number of black tiles that Todd used.

Todd has 21 white tiles and some black tiles to make a mosaic. Each tile has an area of 3 square. It means that the total area of the white tiles is 21 × 3 = 63 cm^2

The total area of the white tiles is x × 3 = 3x cm^2

The mosaic has a total area of 144 Square centimeters. It means that

3x + 63 = 144

3x = 144 - 63 = 81

x = 81/3 = 27

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3 years ago
2. People ride in a mini-bus from the hotel to the airport. Sixty people need to go to the airport, and they are going to ride i
asambeis [7]

Answer:

20 people will ride each bus

Step-by-step explanation:

60 people, and 3 buses

you would divide 3 by 60

4 0
3 years ago
Read 2 more answers
The price of a television set on scale is $360. This two thirds of the regular price. Find the regular price.
snow_tiger [21]

Answer: I believe it would be $600

Step-by-step explanation:

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Which set of ratios could be used to determine if one triangle is a dilation of the other
Lisa [10]

Answer:

See explanation

\frac{3.6}{3}  =  \frac{5.4}{4.5}  =  \frac{6}{5}

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

\frac{3.6}{3}  = 1.2

\frac{5.4}{4.5}  = 1.2

\frac{6}{5}  = 1.2

The set of ratios which could be used to determine if one triangle is a dilation of the other is

\frac{3.6}{3}  =  \frac{5.4}{4.5}  =  \frac{6}{5}

If there are multiple correct options then check this one too.

\frac{3}{3.6}  =  \frac{4.5}{5.4} =  \frac{5}{6}

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Citrus2011 [14]

Step-by-step explanation: In this problem, we're asked to state the domain and range for the following relation.

First of all, a relation is just a set of ordered pairs like you see in this problem. The domain is the set of all x-coordinates for those ordered pairs. So in this case the domain or D is {2, 5, -1, 0, -3}.

The range is the set of all y-coordinates for those ordered pairs. So in this case our range or R is {4, 3, -4, 9, 1}.

3 0
3 years ago
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